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arxiv: 1101.3696 · v2 · pith:KLF3RU6Qnew · submitted 2011-01-19 · 🧮 math.RT

On Representations of Classical Groups over Finite Local Rings of Length Two

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keywords groupsrepresentationsirreduciblelengthlinearlocalringsalready
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We study the complex irreducible representations of special linear, symplectic, orthogonal and unitary groups over principal ideal local rings of length two. We construct a canonical correspondence between the irreducible representations of all such groups that preserves dimensions. The case for general linear groups has already been proved by author.

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